0.2(4y-3)=0.6(4y-1)

Solution for 0.2(4y-3)=0.6(4y-1) equation:

Simplifying
0.2(4y + -3) = 0.6(4y + -1)

Reorder the terms:
0.2(-3 + 4y) = 0.6(4y + -1)
(-3 * 0.2 + 4y * 0.2) = 0.6(4y + -1)
(-0.6 + 0.8y) = 0.6(4y + -1)

Reorder the terms:
-0.6 + 0.8y = 0.6(-1 + 4y)
-0.6 + 0.8y = (-1 * 0.6 + 4y * 0.6)
-0.6 + 0.8y = (-0.6 + 2.4y)

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 0.8y = -0.6 + 0.6 + 2.4y

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 0.8y = -0.6 + 0.6 + 2.4y
0.8y = -0.6 + 0.6 + 2.4y

Combine like terms: -0.6 + 0.6 = 0.0
0.8y = 0.0 + 2.4y
0.8y = 2.4y

Solving
0.8y = 2.4y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2.4y' to each side of the equation.
0.8y + -2.4y = 2.4y + -2.4y

Combine like terms: 0.8y + -2.4y = -1.6y
-1.6y = 2.4y + -2.4y

Combine like terms: 2.4y + -2.4y = 0.0
-1.6y = 0.0

Divide each side by '-1.6'.
y = 0

Simplifying
y = 0